Periodic sequences, binomials modulo a prime power, and a math/music application
DOI10.1016/J.AAM.2024.102786MaRDI QIDQ6632120
Alberto Tonolo, Luisa Fiorot, Riccardo Gilblas
Publication date: 4 November 2024
Published in: Advances in Applied Mathematics (Search for Journal in Brave)
Chinese remainder theoremperiodic sequencesKummer's theoremmathematics and musicbinomial coefficients modulo a prime powerdifference and anti-difference operators
Binomial coefficients; factorials; (q)-identities (11B65) Additive difference equations (39A10) Difference operators (39A70) Sequences (mod (m)) (11B50) Mathematics and music (00A65)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Sequences with good correlation property based on depth and interleaving techniques
- A complete classification of \(\mathbb Z_p\)-sequences corresponding to a polynomial
- Lucas' theorem for prime powers
- A binomial coefficient congruence modulo prime powers
- On some theoretical and computational aspects of Anatol Vieru's periodic sequences
- Linear cellular automata, finite automata and Pascal's triangle
- The mystery of Anatol Vieru's periodic sequences unveiled
- Modular periodicity of binomial coefficients
- The power of a prime that divides a generalized binomial coefficient.
- Difference operators and periodic sequences over finite modules
- Über die Ergänzungssätze zu den allgemeinen Reciprocitätsgesetzen.
- Reinterpreting and Extending Anatol Vieru’s Periodic Sequences Through the Cellular Automata Formalisms
- Discrete Calculus
- The Number of Binomial Coefficients Divisible by a Fixed Power of 2
- Formulas for the Number of Binomial Coefficients Divisible by a Fixed Power of a Prime
- Binomial Coefficients Modulo a Prime
This page was built for publication: Periodic sequences, binomials modulo a prime power, and a math/music application
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6632120)
